Atkin-Lehner |
3- 11+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
86229d |
Isogeny class |
Conductor |
86229 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
45825625989 = 314 · 11 · 13 · 67 |
Discriminant |
Eigenvalues |
0 3- 1 -2 11+ 13+ 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1182,-11772] |
[a1,a2,a3,a4,a6] |
Generators |
[62:391:1] |
Generators of the group modulo torsion |
j |
250523582464/62860941 |
j-invariant |
L |
5.4616438603514 |
L(r)(E,1)/r! |
Ω |
0.82922650190031 |
Real period |
R |
3.2932159304025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28743h1 |
Quadratic twists by: -3 |